Data description

Data was simulated using VirtualCommunity code.
Simulated data contains 20 data sets.
In this file we have compared the 3 models HMSC,GJAM, JSDM on 21 simulated Dataset.\ We have compared the ability to recover the true interactions used for modelling this datasets, by comparing estimated correlation matrix and matrix representing true interactions.
There is a separate file, with the functions needed to fit each model and study the convergence and more parameters are presented.
## Environment filtering 5 species

JSDM

GJAM

HMSC

Convergence:

Study of interactions

ALL3<-function(jsdm_mod,gjam_mod,hmsc_mod,interact=diag(5)){
 par(mfrow=c(2,2),oma = c(1, 1, 1, 1))
  corrplot(jsdm_mod, diag = FALSE, order = "original",tl.pos = "ld", tl.cex = 0.5, method = "color",col=cols(200), type = "lower")
  title("R  JSDM ")
  corrplot(gjam_mod, diag = FALSE, order = "original",tl.pos = "ld", tl.cex = 0.5, method = "color",col=cols(200), type = "lower")
  title("R GJAM")
  corrplot(hmsc_mod, diag = FALSE, order = "original",tl.pos = "ld", tl.cex = 0.5, method = "color",col=cols(200), type = "lower")
  title("R HMSC")
  corrplot(interact, diag = FALSE, order = "original",tl.pos = "ld", tl.cex = 0.5, method = "color",col=cols(200), type = "lower")
  title("True interactions")
}
ALL3(mod_list$jsdm,mod_list$gjam,mod_list$hmsc,diag(5))

Environmental filtering 10 species

JSDM

Gjam

HMSC

ALL3(mod_list$jsdm,mod_list$gjam,mod_list$hmsc,diag(10))

Environmental filtering 20 species

JSDM

Gjam

Gjam dimension reduction

ALL3(mod_list$jsdm,mod_list$gjam,mod_list$hmsc,diag(20))

Environmental filtering + Facilitation dense 5 species

JSDM

Gjam

HMSC

ALL3(mod_list$jsdm,mod_list$gjam,mod_list$hmsc,fac_inter[[4]])

Environmental filtering + Facilitation dense 10 species

JSDM

HMSC

ALL3(mod_list$jsdm,mod_list$gjam,mod_list$hmsc,fac_inter[[5]])

Environmental filtering + Facilitation dense 20 species

JSDM

Gjam

HMSC

ALL3(mod_list$jsdm,mod_list$gjam,mod_list$hmsc,fac_inter[[6]])

Environmental filtering + Facilitation sparse 5 species

JSDM

Gjam

HMSC

ALL3(mod_list$jsdm,mod_list$gjam,mod_list$hmsc,fac_inter[[8]])

Environmental filtering + Facilitation sparse 10 species

JSDM

HMSC

ALL3(mod_list$jsdm,mod_list$gjam,mod_list$hmsc,fac_inter[[8]])

Environmental filtering + Facilitation sparse 20 species

JSDM

Gjam

HMSC

HMSC

ALL3(mod_list$jsdm,mod_list$gjam,mod_list$hmsc,fac_inter[[9]])

Environmental filtering + Competition dense 5 species

JSDM

Gjam

ALL3(mod_list$jsdm,mod_list$gjam,mod_list$hmsc,(-1)*comp_inter[[10]])

Environmental filtering + Competition dense 10 species

Gjam

HMSC

ALL3(mod_list$jsdm,mod_list$gjam,mod_list$hmsc,(-1)*comp_inter[[11]])

Environmental filtering + Competition dense 20 species

Gjam

HMSC

ALL3(mod_list$jsdm,mod_list$gjam,mod_list$hmsc,(-1)*comp_inter[[12]])

Environmental filtering + Competition sparse 5 species

Gjam

HMSC

ALL3(mod_list$jsdm,mod_list$gjam,mod_list$hmsc,(-1)*comp_inter[[13]])

Environmental filtering + Competition sparse 10 species

JSDM

Gjam

ALL3(mod_list$jsdm,mod_list$gjam,mod_list$hmsc,(-1)*comp_inter[[14]])

Environmental filtering + Competition sparse 20 species

JSDM

Gjam

HMSC

ALL3(mod_list$jsdm,mod_list$gjam,mod_list$hmsc,(-1)*comp_inter[[15]])

Environmental filtering + Competition +Facilitation 5 dense species

JSDM

Gjam

HMSC

ALL3(mod_list$jsdm,mod_list$gjam,mod_list$hmsc, (-1)*comp_inter[[16]]+ fac_inter[[16]])

Environmental filtering + Competition +Facilitation 10 dense species

JSDM

Gjam

HMSC

ALL3(mod_list$jsdm,mod_list$gjam,mod_list$hmsc, (-1)*comp_inter[[17]]+ fac_inter[[17]])

Environmental filtering + Competition +Facilitation 20 dense species

JSDM

Gjam

HMSC

ALL3(mod_list$jsdm,mod_list$gjam,mod_list$hmsc, (-1)*comp_inter[[18]]+ fac_inter[[18]])

Environmental filtering + Competition +Facilitation 5 sparse species

JSDM

Gjam

HMSC

ALL3(mod_list$jsdm,mod_list$gjam,mod_list$hmsc, (-1)*comp_inter[[19]]+ fac_inter[[19]])

## Environmental filtering + Competition +Facilitation 10 sparse species

JSDM

Gjam

HMSC

ALL3(mod_list$jsdm,mod_list$gjam,mod_list$hmsc, (-1)*comp_inter[[20]]+ fac_inter[[20]])

Environmental filtering + Competition +Facilitation 20 sparse species

JSDM

Gjam

HMSC

ALL3(mod_list$jsdm,mod_list$gjam,mod_list$hmsc, (-1)*comp_inter[[21]]+ fac_inter[[21]])

Graph from paper

Visualization for true interactions

Facilitation

Competition Dense

Competition Dense

Competition + Facilitation Dense

Competition + Facilitation Sparse